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<a href="relax__dynamics_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* -------------------------------------------------------------------------*</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">*                               SPHinXsys                                   *</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">* --------------------------------------------------------------------------*</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">* SPHinXsys (pronunciation: s&#39;finksis) is an acronym from Smoothed Particle *</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">* Hydrodynamics for industrial compleX systems. It provides C++ APIs for    *</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">* physical accurate simulation and aims to model coupled industrial dynamic *</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">* systems including fluid, solid, multi-body dynamics and beyond with SPH   *</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">* (smoothed particle hydrodynamics), a meshless computational method using  *</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">* particle discretization.                                                  *</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">* SPHinXsys is partially funded by German Research Foundation               *</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">* (Deutsche Forschungsgemeinschaft) DFG HU1527/6-1, HU1527/10-1             *</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">* and HU1527/12-1.                                                          *</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">* Portions copyright (c) 2017-2020 Technical University of Munich and       *</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">* the authors&#39; affiliations.                                                *</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">* Licensed under the Apache License, Version 2.0 (the &quot;License&quot;); you may   *</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">* not use this file except in compliance with the License. You may obtain a *</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">* copy of the License at http://www.apache.org/licenses/LICENSE-2.0.        *</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">* --------------------------------------------------------------------------*/</span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#pragma once</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &quot;math.h&quot;</span></div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &quot;all_particle_dynamics.h&quot;</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="neighbor__relation_8h.html">neighbor_relation.h</a>&quot;</span></div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="base__kernel_8h.html">base_kernel.h</a>&quot;</span></div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="mesh__cell__linked__list_8h.html">mesh_cell_linked_list.h</a>&quot;</span></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_s_p_h.html">SPH</a></div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;{</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">namespace </span>relax_dynamics</div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    {</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> ParticlesType = BaseParticles&gt;</div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keyword">using</span> RelaxDynamicsSimple = ParticleDynamicsSimple&lt;SPHBody, ParticlesType&gt;;</div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> ParticlesType = BaseParticles&gt;</div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keyword">using</span> RelaxDynamicsMin = ParticleDynamicsReduce&lt;Real, ReduceMin, SPHBody, ParticlesType&gt;;</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> ReturnType, <span class="keyword">class</span> ParticlesType = BaseParticles&gt;</div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <span class="keyword">using</span> RelaxDynamicsSum = ParticleDynamicsReduce&lt;ReturnType, ReduceSum&lt;ReturnType&gt;, SPHBody, ParticlesType&gt;;</div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> ParticlesType = BaseParticles&gt;</div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="keyword">using</span> RelaxDynamicsInner1Level = ParticleDynamicsInner1Level&lt;SPHBody, ParticlesType&gt;;</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    </div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> ParticlesType = BaseParticles&gt;</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keyword">using</span> RelaxDynamicsInner =  ParticleDynamicsInner&lt;SPHBody, ParticlesType&gt;;</div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> ParticlesType = BaseParticles&gt;</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keyword">using</span> RelaxSurfaceConstraint = PartDynamicsByParticle&lt;SPHBody, ParticlesType, BodySurface&gt;;</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> ParticlesType = BaseParticles&gt;</div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keyword">using</span> RelaxConstraintByCell = PartDynamicsByCell&lt;SPHBody, ParticlesType, NearBodySurface&gt;;</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> ParticlesType = BaseParticles, <span class="keyword">class</span> ContactParticlesType = BaseParticles&gt;</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">using</span> RelaxDynamicsComplex =  </div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            ParticleDynamicsComplex&lt;SPHBody, ParticlesType, BaseMaterial, SPHBody, ParticlesType&gt;;</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> ParticlesType = BaseParticles, <span class="keyword">class</span> ContactParticlesType = BaseParticles&gt;</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">using</span> RelaxDynamicsComplex1Level </div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;            = ParticleDynamicsComplex1Level&lt;SPHBody, ParticlesType, BaseMaterial, SPHBody, ParticlesType&gt;;</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    </div><div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size.html">   78</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size.html">GetTimeStepSize</a> : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_particle_dynamics_reduce.html">RelaxDynamicsMin</a>&lt;BaseParticles&gt;</div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        {</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            Real smoothing_length_;</div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            Real ReduceFunction(<span class="keywordtype">size_t</span> index_particle_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size.html">GetTimeStepSize</a>(<a class="code" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a>* body);</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size.html">GetTimeStepSize</a>() {};</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        };</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div><div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_inner.html">   94</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_inner.html">PhysicsRelaxationInner</a> : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_particle_dynamics_inner.html">ParticleDynamicsInner</a>&lt;SPHBody&gt;</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        {</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;            Real smoothing_length_;</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            Real particle_spacing_;</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            Real sound_speed_;</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;            Real p0_;</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            Real p_star_;</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            Real mass_;</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> InnerInteraction(<span class="keywordtype">size_t</span> index_particle_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_inner.html">PhysicsRelaxationInner</a>(<a class="code" href="class_s_p_h_1_1_s_p_h_body_inner_relation.html">SPHBodyInnerRelation</a>* body_inner_relation);</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_inner.html">PhysicsRelaxationInner</a>() {};</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        };</div><div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_complex.html">  115</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_complex.html">PhysicsRelaxationComplex</a> : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_particle_dynamics_complex1_level.html">RelaxDynamicsComplex1Level</a>&lt;BaseParticles&gt;</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        {</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;            Real eta_;</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;            Real p0_;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;            Real sound_speed_;</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            Real p_star_;</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;            Real mass_;</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Initialization(<span class="keywordtype">size_t</span> index_particle_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_complex.html#ada9ff4b67c1d805fb58cdbbbf4bb8a8b">ComplexInteraction</a>(<span class="keywordtype">size_t</span> index_particle_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Update(<span class="keywordtype">size_t</span> index_particle_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_complex.html">PhysicsRelaxationComplex</a>(<a class="code" href="class_s_p_h_1_1_s_p_h_body_complex_relation.html">SPHBodyComplexRelation</a>* body_complex_relation);</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_complex.html">PhysicsRelaxationComplex</a>() {};</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        };</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div><div class="line"><a name="l00138"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_body_surface_bounding.html">  138</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_body_surface_bounding.html">BodySurfaceBounding</a> : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_part_dynamics_by_cell.html">RelaxConstraintByCell</a>&lt;BaseParticles&gt;</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        {</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Update(<span class="keywordtype">size_t</span> index_particle_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_body_surface_bounding.html">BodySurfaceBounding</a>(<a class="code" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a> *body, <a class="code" href="class_s_p_h_1_1_near_body_surface.html">NearBodySurface</a>* body_part)</div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                :<a class="code" href="class_s_p_h_1_1_part_dynamics_by_cell.html">RelaxConstraintByCell&lt;BaseParticles&gt;</a>(body, body_part) {};</div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160; 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       {</div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00202"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#abe1213b7ca4a9ecde3c21db4a313424b">  202</a></span>&#160;            Real <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#abe1213b7ca4a9ecde3c21db4a313424b">sigma_</a>;</div><div class="line"><a name="l00204"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#ad39700984f04a5ee0d2c08e55689ce7e">  204</a></span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1get_averaged_particle_number_density.html">getAveragedParticleNumberDensity</a>* <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#ad39700984f04a5ee0d2c08e55689ce7e">get_average_number_density_</a>;</div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;</div><div class="line"><a name="l00207"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#ae1127336cd71ecf31625cb3e7596edd0">  207</a></span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#ae1127336cd71ecf31625cb3e7596edd0">setupDynamics</a>(Real dt = 0.0)<span class="keyword"> override </span>{</div><div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;                body_-&gt;setNewlyUpdated();</div><div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;                <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#abe1213b7ca4a9ecde3c21db4a313424b">sigma_</a> = <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#ad39700984f04a5ee0d2c08e55689ce7e">get_average_number_density_</a>-&gt;parallel_exec(); </div><div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;            };</div><div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Update(<span class="keywordtype">size_t</span> index_particle_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html">FinalizingParticleRelaxation</a>(<a class="code" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a> *body)</div><div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;                : <a class="code" href="class_s_p_h_1_1_particle_dynamics_simple.html">RelaxDynamicsSimple</a>&lt;<a class="code" href="class_s_p_h_1_1_base_particles.html">BaseParticles</a>&gt;(body), <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#abe1213b7ca4a9ecde3c21db4a313424b">sigma_</a>(0.0){</div><div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;                <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#ad39700984f04a5ee0d2c08e55689ce7e">get_average_number_density_</a> = <span class="keyword">new</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1get_averaged_particle_number_density.html">getAveragedParticleNumberDensity</a>(body);</div><div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;            };</div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;            <span class="keyword">virtual</span> ~FinalizingParticleRelaxation() {};</div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;        };</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;    }</div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;}</div><div class="ttc" id="class_s_p_h_1_1_particle_dynamics_inner_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_dynamics_inner.html">SPH::ParticleDynamicsInner</a></div><div class="ttdoc">This is the class for inner interactions in which one the particles from the same body interact with ...</div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:98</div></div>
<div class="ttc" id="class_s_p_h_1_1_base_particles_html"><div class="ttname"><a href="class_s_p_h_1_1_base_particles.html">SPH::BaseParticles</a></div><div class="ttdoc">Particles with essential (geometric and kinematic) data. There are three types of particles...</div><div class="ttdef"><b>Definition:</b> base_particles.h:87</div></div>
<div class="ttc" id="class_s_p_h_1_1_body_surface_html"><div class="ttname"><a href="class_s_p_h_1_1_body_surface.html">SPH::BodySurface</a></div><div class="ttdoc">A auxillary class for Body to indicate the surface particles from background mesh. </div><div class="ttdef"><b>Definition:</b> base_body.h:284</div></div>
<div class="ttc" id="class_s_p_h_1_1_s_p_h_body_inner_relation_html"><div class="ttname"><a href="class_s_p_h_1_1_s_p_h_body_inner_relation.html">SPH::SPHBodyInnerRelation</a></div><div class="ttdoc">The relation within a SPH body. </div><div class="ttdef"><b>Definition:</b> body_relation.h:65</div></div>
<div class="ttc" id="class_s_p_h_1_1_particle_dynamics_simple_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_dynamics_simple.html">SPH::ParticleDynamicsSimple</a></div><div class="ttdoc">Simple particle dynamics without considering particle interaction. </div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:48</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_inner_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_inner.html">SPH::relax_dynamics::PhysicsRelaxationInner</a></div><div class="ttdoc">simple algorithm for physics relaxation without considering contact interaction. this is usually used...</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:94</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1compute_number_density_by_summation_html_a981080042bae2749d4af6b251ee027d9"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1compute_number_density_by_summation.html#a981080042bae2749d4af6b251ee027d9">SPH::relax_dynamics::computeNumberDensityBySummation::ComplexInteraction</a></div><div class="ttdeci">virtual void ComplexInteraction(size_t index_particle_i, Real dt=0.0) override</div><div class="ttdef"><b>Definition:</b> relax_dynamics.cpp:167</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1compute_number_density_by_summation_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1compute_number_density_by_summation.html">SPH::relax_dynamics::computeNumberDensityBySummation</a></div><div class="ttdoc">compute the particle number density by summation. </div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:168</div></div>
<div class="ttc" id="neighbor__relation_8h_html"><div class="ttname"><a href="neighbor__relation_8h.html">neighbor_relation.h</a></div><div class="ttdoc">There are the classes for a neighboring particle. It saves the information for carring out pair inter...</div></div>
<div class="ttc" id="mesh__cell__linked__list_8h_html"><div class="ttname"><a href="mesh__cell__linked__list_8h.html">mesh_cell_linked_list.h</a></div><div class="ttdoc">Here gives the classes for managing cell linked lists. This is the basic class for building the parti...</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size.html">SPH::relax_dynamics::GetTimeStepSize</a></div><div class="ttdoc">relaxation dynamics for particle initialization computing time step size </div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:78</div></div>
<div class="ttc" id="class_s_p_h_1_1_particle_dynamics_complex1_level_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_dynamics_complex1_level.html">SPH::ParticleDynamicsComplex1Level</a></div><div class="ttdoc">complex operations with a initialization and a update step </div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:235</div></div>
<div class="ttc" id="class_s_p_h_1_1_s_p_h_body_complex_relation_html"><div class="ttname"><a href="class_s_p_h_1_1_s_p_h_body_complex_relation.html">SPH::SPHBodyComplexRelation</a></div><div class="ttdoc">The relation within a SPH body and with its contact SPH bodies. The interaction is in a inner-boundar...</div><div class="ttdef"><b>Definition:</b> body_relation.h:124</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1_body_surface_bounding_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_body_surface_bounding.html">SPH::relax_dynamics::BodySurfaceBounding</a></div><div class="ttdoc">constrain surface particles by map contrained particles to geometry face and r = r + phi * norm (vect...</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:138</div></div>
<div class="ttc" id="class_s_p_h_1_1_particle_dynamics_reduce_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_dynamics_reduce.html">SPH::ParticleDynamicsReduce</a></div><div class="ttdoc">Base abstract class for reduce. </div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:69</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1get_averaged_particle_number_density_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1get_averaged_particle_number_density.html">SPH::relax_dynamics::getAveragedParticleNumberDensity</a></div><div class="ttdoc">Compute the Everaged Particle Number Density. </div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:185</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html">SPH::relax_dynamics::FinalizingParticleRelaxation</a></div><div class="ttdoc">update the number density after relaxation. </div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:198</div></div>
<div class="ttc" id="class_s_p_h_1_1_part_dynamics_by_particle_html"><div class="ttname"><a href="class_s_p_h_1_1_part_dynamics_by_particle.html">SPH::PartDynamicsByParticle</a></div><div class="ttdoc">Imposing Lagrangian constrain to a body. That is the constrained particles will be the same during th...</div><div class="ttdef"><b>Definition:</b> particle_dynamics_bodypart.h:24</div></div>
<div class="ttc" id="class_s_p_h_1_1_part_dynamics_by_cell_html"><div class="ttname"><a href="class_s_p_h_1_1_part_dynamics_by_cell.html">SPH::PartDynamicsByCell</a></div><div class="ttdoc">Imposing Eulerian constrain to a body. The constrained particles are the cells tagged. </div><div class="ttdef"><b>Definition:</b> particle_dynamics_bodypart.h:47</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation_html_ad39700984f04a5ee0d2c08e55689ce7e"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#ad39700984f04a5ee0d2c08e55689ce7e">SPH::relax_dynamics::FinalizingParticleRelaxation::get_average_number_density_</a></div><div class="ttdeci">getAveragedParticleNumberDensity * get_average_number_density_</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:204</div></div>
<div class="ttc" id="class_s_p_h_1_1_s_p_h_body_html"><div class="ttname"><a href="class_s_p_h_1_1_s_p_h_body.html">SPH::SPHBody</a></div><div class="ttdoc">SPHBody is a base body with basic data and functions. Its derived class can be a real fluid body...</div><div class="ttdef"><b>Definition:</b> base_body.h:73</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_complex_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_complex.html">SPH::relax_dynamics::PhysicsRelaxationComplex</a></div><div class="ttdoc">position verlet algorithm for physics relaxation with considering contact interaction this is usually...</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:115</div></div>
<div class="ttc" id="class_s_p_h_1_1_near_body_surface_html"><div class="ttname"><a href="class_s_p_h_1_1_near_body_surface.html">SPH::NearBodySurface</a></div><div class="ttdoc">An auxillary class for SPHBody to indicate region close the body surface. </div><div class="ttdef"><b>Definition:</b> base_body.h:335</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_complex_html_ada9ff4b67c1d805fb58cdbbbf4bb8a8b"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_physics_relaxation_complex.html#ada9ff4b67c1d805fb58cdbbbf4bb8a8b">SPH::relax_dynamics::PhysicsRelaxationComplex::ComplexInteraction</a></div><div class="ttdeci">virtual void ComplexInteraction(size_t index_particle_i, Real dt=0.0) override</div><div class="ttdef"><b>Definition:</b> relax_dynamics.cpp:81</div></div>
<div class="ttc" id="base__kernel_8h_html"><div class="ttname"><a href="base__kernel_8h.html">base_kernel.h</a></div><div class="ttdoc">This is the base classes of kernel functions. Implementation will be implemented in derived classes...</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation_html_ae1127336cd71ecf31625cb3e7596edd0"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#ae1127336cd71ecf31625cb3e7596edd0">SPH::relax_dynamics::FinalizingParticleRelaxation::setupDynamics</a></div><div class="ttdeci">virtual void setupDynamics(Real dt=0.0) override</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:207</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation_html_abe1213b7ca4a9ecde3c21db4a313424b"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_finalizing_particle_relaxation.html#abe1213b7ca4a9ecde3c21db4a313424b">SPH::relax_dynamics::FinalizingParticleRelaxation::sigma_</a></div><div class="ttdeci">Real sigma_</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:202</div></div>
<div class="ttc" id="namespace_s_p_h_html"><div class="ttname"><a href="namespace_s_p_h.html">SPH</a></div><div class="ttdef"><b>Definition:</b> base_body_supplementary.cpp:11</div></div>
<div class="ttc" id="class_s_p_h_1_1_particle_dynamics_complex_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_dynamics_complex.html">SPH::ParticleDynamicsComplex</a></div><div class="ttdoc">complex operations combining both inner and contact particle dynamics together </div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:185</div></div>
<div class="ttc" id="class_s_p_h_1_1relax__dynamics_1_1_constraint_surface_particles_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_constraint_surface_particles.html">SPH::relax_dynamics::ConstraintSurfaceParticles</a></div><div class="ttdoc">constrain surface particles by map contrained particles to geometry face and r = r + phi * norm (vect...</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:154</div></div>
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